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Finding the Fourth Proportional to 271,564.80, 407,183.56 and 121,778

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Solution

The fourth proportional to 271,564.80, 407,183.56 and 121,778 is: 182,593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,564.80 : 407,183.56 = 121,778 : x
  2. Step 2: Convert to fraction form
    271,564.80/407,183.56 = 121,778/x
  3. Step 3: Cross multiply
    271,564.80x = 407,183.56 × 121,778
  4. Step 4: Simplify right side
    271,564.80x = 49,585,999,569.68
  5. Step 5: Solve for x
    x = 49,585,999,569.68/271,564.80
  6. Step 6: Final answer
    x = 182,593.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.